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Finding the Fourth Proportional to 10,883.47, 15,018.46 and 6,408.09

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Solution

The fourth proportional to 10,883.47, 15,018.46 and 6,408.09 is: 8,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.47 : 15,018.46 = 6,408.09 : x
  2. Step 2: Convert to fraction form
    10,883.47/15,018.46 = 6,408.09/x
  3. Step 3: Cross multiply
    10,883.47x = 15,018.46 × 6,408.09
  4. Step 4: Simplify right side
    10,883.47x = 96,239,643.34
  5. Step 5: Solve for x
    x = 96,239,643.34/10,883.47
  6. Step 6: Final answer
    x = 8,842.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.